most citedWell and ill-posedness issues for energy supercritical waves

3 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2009

Remarks on the Blowup Criteria for Oldroyd Models

Zhen Lei, Nader Masmoudi, Yi Zhou

We provide a new method to prove and improve the Chemin-Masmoudi criterion for viscoelastic systems of Oldroyd type in \cite{CM} in two space dimensions. Our method is much easier…

math.AP2009★ 2 cited

Global Solutions for the Gravity Water Waves Equation in Dimension 3

P. Germain, N. Masmoudi, J. Shatah

We show existence of global solutions for the gravity water waves equation in dimension 3, in the case of small data. The proof combines energy estimates, which yield control of L^…

math.AP2009★ 3 cited

Well and ill-posedness issues for energy supercritical waves

Slim Ibrahim, Mohamed Majdoub, Nader Masmoudi

We investigate the initial value problem for some energy supercritical semilinear wave equations. We establish local existence in suitable spaces with continuous flow. We also obta…